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Macroscopic traversable wormhole solutions to Einstein's field equations in$(2+1)$ and $(3+1)$ dimensions with a cosmological constant are investigated.Ensuring traversability severely constrains the material used to generate thewormhole's spacetime curvature. Although the presence of a cosmologicalconstant modifies to some extent the type of matter permitted (for example itis possible to have a positive energy density for the material threading thethroat of the wormhole in $(2+1)$ dimensions), the material must still be``exotic'', that is matter with a larger radial tension than total mass-energydensity multiplied by $c^2$. Two specific solutions are applied to the generalcases and a partial stability analysis of a $(2+1)$ dimensional solution isexplored.Comment: 19 pgs. WATPHYS TH-93/0

TRAVERSABLE WORMHOLES IN (2+1) AND (3+1) DIMENSIONS WITH A COSMOLOGICAL CONSTANT